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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 9016b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9016.j1 | 9016b1 | \([0, 1, 0, -212, -1303]\) | \(-562432/23\) | \(-43294832\) | \([]\) | \(2304\) | \(0.23284\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9016b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9016b do not have complex multiplication.Modular form 9016.2.a.b
sage: E.q_eigenform(10)